• Title/Summary/Keyword: gain matrix

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Robust stability of a two-degree-of-freedom servosystem incorporating an observer with multiplicative uncertainty (관측기를 갖는 2자유도 서보계의 승법적인 불확실성에 대한 강인한 안정성)

  • Kim, Young-Bok;Yang, Joo-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.1
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    • pp.1-8
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    • 1997
  • In order to reject the steady-state tracking error, it is common to introduce integral compensators in servosystems for constant reference signals. However, if the mathematical model of the plant is exact and no disturbance input exists, the integral compensation is not necessary. From this point of view, a two-degree-of-freedom(2DOF) servosystem has been proposed, in which the integral compensation is effective only when there is a modeling error or a disturbance input. The present paper considers robust stability of this 2DOF servosystem incorporating an observer to the structured and unstructured uncertainties of the controlled plant. A robust stability condition is obtained using Riccati inequality, which is written in a linear matrix inequality (LMI) and independent of the gain of the integral compensator. This result impies that if the plant uncertainty is in the allowable set defined by the LMI condition, a high-gain integral compensation can be carried preserving robust stability to accelerate the tracking response.

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Design of $H_{\infty}$ Controllers for Linear Systems with Input Saturation (입력 포화 특성을 갖는 선형 시스템의 $H_{\infty}$ 제어기 설계)

  • Song, Yong-Heui;Kim, Jin-Hoon
    • Proceedings of the KIEE Conference
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    • 2002.07d
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    • pp.2040-2042
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    • 2002
  • In this paper, we consider the design of gam scheduled controllers for linear systems with input saturation. We obtain a reachable set and a control gain, which guarantees that the controls are never saturated inside this reachable set and that the $L_2$ gain is minimized, from matrix inequalities. This proposed gain scheduled control gives better performance than that of static control case, and we present the simulation results to show the usefulness of the proposed control.

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Optimum thickness of GaAs top layer in AlGaAs-based 850 nm VCSELs for 56 Gb/s PAM-4 applications

  • Yu, Shin-Wook;Kim, Sang-Bae
    • ETRI Journal
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    • v.43 no.5
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    • pp.923-931
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    • 2021
  • We studied the influence of GaAs top-layer thickness on the small-signal modulation response and 56 Gb/s four-level pulse-amplitude modulation eye quality of 850 nm vertical-cavity surface-emitting lasers (VCSELs). We considered the proportionality of the gain-saturation coefficient to the photon lifetime. The simulation results that employed the transfer-matrix method and laser rate equations led to the conclusion that the proportionality should be considered for proper explanation of the experimental results. From the obtained optical eyes, we could determine an optimum thickness of the GaAs top layer that rendered the best eye quality of VCSEL. We also compared two results: one result with a fixed gain-saturation coefficient and the other that considered the proportionality. The former result with the constant gain-saturation coefficient demonstrated a better eye quality and a wider optimum range of the GaAs top-layer thickness because the resultant higher damping reduced the relaxation oscillation.

Robust missile autopilot design using a generalized singular optimal control technique (최적 제어 기법을 사용한 자동조종장치의 설계)

  • 백운보;이만형
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.498-502
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    • 1986
  • A generalized singular linear quadratic control technique is developed to design an optimal trajectory tracking system. The output feedback control law is designed using this technique. The feedback gain matrix is synthesized to minimize tracking errors with pole placement capability to satisfy the control activity requirements. An applications to a bank-to-turn missile coordinated autopilot system design is presented.

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An application of observer to the linear stochastic contimuous systems (관측자의 선형확률연속시스템에의 적용)

  • 고명삼;홍석교
    • 전기의세계
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    • v.24 no.5
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    • pp.103-106
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    • 1975
  • This Paper deals with an applicatoin of Luenberger Observer to the Linear Stochastic Systems. The basic technique is the use of a matrix version of the Maximum Principle of Pontryagin coupled with the use of gradient matrices to derive the gain matix for minimum error covariance. The optimal observer which is derived turns out to be identical to the well-known Kalman-Bucy Filter.

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Performance Improvement of WCDMA Downlink Systems Using Space Time Block Coding (STBC를 이용한 WCDMA 순방향 링크 시스템의 성능개선)

  • 박정숙;박중후
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.4A
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    • pp.423-428
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    • 2004
  • High-data rate and high speed communication techniques are required for wireless mobile communication systems to provide multimedia services. A multiple antenna technology may be used to meet this demand. In this paper, a method for performance improvement of a WCDMA downlink system using space time block coding is proposed in quasi-static Rayleigh fading channels. The proposed receiver uses the cross correlation matrix obtained by each finger corresponding to multi paths. To obtain maximum diversity gain, the inverse of cross correlation matrix and the Hermitian matrix of the channel matrix for each path arc computed, and then applied to received signals. Various simulation results show that the proposed receiver outperforms a conventional receiver in Rayleigh fading channels.

A Visual-Based Logic Minimization Method

  • Kim, Eun-Gi
    • Journal of Korea Society of Industrial Information Systems
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    • v.16 no.5
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    • pp.9-19
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    • 2011
  • In many instances a concise form of logic is often required for building today's complex systems. The method described in this paper can be used for a wide range of industrial applications that requires Boolean type of logic minimization. Unlike some of the previous logic minimization methods, the proposed method can be used to better gain insights into the logic minimization process. Based on the decimal valued matrix, the method described here can be used to find an exact minimized solution for a given Boolean function. It is a visual based method that primarily relies on grouping the cell values within the matrix. At the same time, the method is systematic to the extent that it can also be computerized. Constructing the matrix to visualize a logic minimization problem should be relatively easy for the most part, particularly if the computer-generated graphs are accompanied.

Analysis of Linear Time-Invariant Spare Network and its Computer Programming (sparse 행렬을 이용한 저항 회로망의 해석과 전산프로그래밍)

  • 차균현
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.11 no.2
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    • pp.1-4
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    • 1974
  • Matrix inversion is very inefficient for computing direct solutions of the large sparse systems of linear equations that arise in many network problems. This paper describes some computer programming techniques for taking advantage of the sparsity of the admittance matrix. with this method, direct solutions are computed from sparse matrix. It is Possible to gain a significant reduction in computing time, memory and round-off emir[r. Retails of the method, numerical examples and programming are given.

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Synergism of Knowledge-Based Decision Support Systems and Neural Networks to Design an Intelligent Strategic Planning System (지능적 전략계획시스템 설계를 위한 지식기초 의사결정지원체제와 인공신경망과의 결합)

  • Lee, Geon-Chang
    • Asia pacific journal of information systems
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    • v.2 no.1
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    • pp.35-56
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    • 1992
  • This paper proposes a synergism of neural networks (NN) and knowledge-based decision support system (KBDSS) to effectively design an intelligent strategic planning system. Since conventional KBDSS becomes inoperative partially or totally when problem deviates slightly from the expected problem-domain, a new DSS concept is needed for designing an effective strategic planning system, where strategic planning environment is usually turbulent and consistently changing. In line with this idea, this paper developes a NN-based DSS, named ConDSS, incorporating the generalization property of NN into its knowledge base. The proposed ConDSS was extensively operated in an experimentally designed environment with three models: BCG matrix, Growth/Gain matrix, and GE matrix. The results proved very promising when encountered with unforeseen situations in comparisons with conventional KBDSS.

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Robust Observer Design for Multi-Output Systems using Eigenstructure (고유구조를 이용한 다중출력 시스템의 강인한 관측기 설계)

  • 허건수;남준철
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2003.04a
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    • pp.39-44
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    • 2003
  • It was shown that the robustness of deterministic observers with respect to modeling errors, measurement bias and round-off errors can be represented by a single performance index the condition number of the observer eigenvector matrix. In this paper, a robust observer for multi-output systems is designed using the left eigenstructure assignment, where the observer gain can not be determined uniquely with respect to the desired observer poles. Utilizing the eigenstructuer assignment for the robustness of the observer, the desired eigenvector matrix is selected to achieve the observer eigenvector matrix with the small condition number. The performance of the designed robust observer is evaluated in a spindle-drive simulation example where the load speed to be estimated based on the measured signals.

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